#include #include #include using namespace std; using namespace atcoder; using mint = modint998244353; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf32 1000000001 #define Inf64 1000000000000000001 struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; vector a(100005); combi C(500000); void dfs(int l,int r){ if(r-l<=1)return; int m = (l+r)/2; dfs(l,m); vector x(m-l); rep(i,m-l)x[i] = a[l+i]; vector y(r-l); rep(i,r-l){ y[i] = -C.kaijou[i+1]; } x = convolution(x,y); for(int i=m;i>n; for(int i=1;i a(n+1,0); for(int i=1;i